Skip to main content
SpringerLink
Log in

Topological ovals in 4-dimensional translation planes

  • Published:
Archiv der Mathematik Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. R. Artzy andH. Groh, Laguerre and Minkowski planes produced by dilatations. J. Geom.26, 1–20 (1986).

    Google Scholar 

  2. D. Betten, Komplexe Schiefparabel-Ebenen. Abh. Math. Sem. Univ. Hamburg48, 76–88 (1979).

    Google Scholar 

  3. D.Betten, 4-dimensional compact projective planes with a 5-dimensional nilradical. To appear.

  4. T. Buchanan, R. Löwen undH. Hähl, Topologische Ovale. Geom. Dedicata9, 401–424 (1980).

    Google Scholar 

  5. H. Groh, Point homogeneous flat affine planes. J. Geom.8, 145–161 (1976).

    Google Scholar 

  6. N.Knarr, Topologische Differenzenflächenebenen mit nichtkommutativer Standgruppe. Dissertation, Kiel 1986.

  7. N.Knarr, Topologische Differenzenflächenebenen. Diplomarbeit, Kiel 1982.

  8. H. Salzmann, Zur Klassifikation topologischer Ebenen III. Abh. Math. Sem. Univ. Hamburg28, 250–261 (1965).

    Google Scholar 

  9. C.Weigand, Konstruktion topologischer projektiver Ebenen, die keine Translationsebenen sind. Mitt. Math. Sem. Giessen177 (1987).

Download references

Author information

Author notes

  1. D. Betten & B. Polster

    Present address: Mathematisches Seminar, Universität Kiel, Ludewig-Meyn-Str. 4, D-24118, Kiel

Authors and Affiliations

    Authors
    1. D. Betten
      View author publications

      You can also search for this author in PubMed Google Scholar

    2. B. Polster
      View author publications

      You can also search for this author in PubMed Google Scholar

    Rights and permissions

    Reprints and permissions

    About this article

    Cite this article

    Betten, D., Polster, B. Topological ovals in 4-dimensional translation planes. Arch. Math 63, 284–288 (1994). https://doi.org/10.1007/BF01189832

    Download citation

    • Received:

    • Revised:

    • Issue Date:

    • DOI: https://doi.org/10.1007/BF01189832

    Keywords

    Search

    Navigation